Calsoft Aptitude Questions

Posted on :15-04-2016

Q1. 7 cannibals of XYZ island, decide to throw a party. As you may be aware, cannibals are guys who eat human beings. The senior among them – Father Cannibal decides that any 6 of them will eat up one cannibal, then out of the remaining six – five of them will eat up one cannibal and so on till one is left. What is the time until one cannibal is left, if it takes one cannibal 3 hours to eat up one cannibal independently?

A) 7 hrs 11 min

B) 6 hrs 12 min

C) 7 hrs 21 min

D) 18 hrs 16 min

ANS: C

Explanation:

At the beginning 6 cannibals will eat one, so time required will be 180/6 = 30 min.
Then out of the remaining six – five will devour one, so time required will be 180/5 = 36 min.
Thus the time until one cannibal is left will be = (180/6 + 180/5 + 180/4 + 180/3 + 180/2 + 180/1) min
= (30 + 36 + 45 + 60 + 90 + 180) min
= 441 min
= 7 hrs 21 min

Q2. Three articles are purchased for Rs. 1050, each with a different cost. The first article was sold at a loss of 20%, the second at 1/3rd gain and the third at 60% gain. Later he found that their SPs were same. What was his net gain/loss?

Q7. A square, S1, circumscribes the circum circle of an equilateral triangle of side 10 cm. A square, S2, is inscribed in the in circle of the triangle. What is the ratio of the area of S1 to the area of S2?

A) 4:1

B) 32:1

C) 8:1

D) 2:1

ANS: C

Explanation:

The height of the equilateral triangle is 53 cm.
Since the height is also the median, we know that the circum-radius is 2/3 × 53 = 103/3 and the in-radius is 1/3 × 53 = 53/3.
The diameter of the circumcircle is the side of square S1. So the area of S1 is (2 × 103/3)2 = 1200/9.
The diameter of the in-circle is the diagonal of square S2. So the area of S2 is ½ × (2 × 53/3)2 = 300/18.
Thus the ratio of areas S1 : S2 is 1200/9 : 300/18 = 8 : 1.

Q8. The sum of the first n terms of an AP is Sn = 4n2 – 2n. Three terms of this series, T2, Tmand T32 are consecutive terms in GP. Find m

Q9. Three casks of equal capacities contain three liquids A, B & C in the ratio 1 : 2 : 3, 3 : 4 : 5 & 5 : 6 : 7 respectively. The mixtures from these casks are taken in the ratio 1 : 2 : 3 and poured into a 4th cask with the same capacity as that of the three casks and the cask is completely filled. What is the ratio of the liquids A, B and C in the resulting mixture?

Follow us

Employers

FreshersLive - No.1 Job site in India. Here you can find latest 2018 government as well as private job recruitment notifications for different posts vacancies in India. Get top company jobs for both fresher and experienced. Job Seekers can get useful interview tips, resume services & interview Question and answer. Practice online test free which is helpful for interview preparation. Register with us to get latest employment news/rojgar samachar notifications. Also get latest free govt and other sarkari naukri job alerts daily through E-mail.